Finding the Fourth Proportional to 2,514.83, 3,772.40 and 759.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.83 : 3,772.40 = 759.74 : x
2. Step 2: Convert to fraction form
   2,514.83/3,772.40 = 759.74/x
3. Step 3: Cross multiply
   2,514.83x = 3,772.40 × 759.74
4. Step 4: Simplify right side
   2,514.83x = 2,866,020.52
5. Step 5: Solve for x
   x = 2,866,020.52/2,514.83
6. Step 6: Final answer
   x = 1,139.65